Well I found out where it converges too by starting with a1=2 that gave me a2 = 7/4, a3 = 97/56 and that is very close too sqrt:3 so that is where it goes. (Thinking).
I am however not sure how to "show" that it converges...?
A general hint on how to show anything here is fine I really wan´t too solve these by myself...

January 29th 2010, 05:50 AM

General

Quote:

Originally Posted by Henryt999

Show that this converges and where it converges too.

. given that (a1=2)

Well I found out where it converges too by starting with a1=2 that gave me a2 = 7/4, a3 = 97/56 and that is very close too sqrt:3 so that is where it goes. (Thinking).
I am however not sure how to "show" that it converges...?
A general hint on how to show anything here is fine I really wan´t too solve these by myself...

Do you the mathematical induction?

January 29th 2010, 05:57 AM

Henryt999

Exactly what?

We might have another name for it in europe? "there is something called the inductionaxiom but I am not suppose to use that here..

January 29th 2010, 06:28 AM

Henryt999

Acctually let me refrase the question.

I have to show that it converges. Well I can do that by putting numbers in.
But I can only show that it converges from the left to sqrt3.
Any tips on how I can show that it also converges from the right?

January 29th 2010, 12:58 PM

mr fantastic

Quote:

Originally Posted by Henryt999

Show that this converges and where it converges too.

. given that (a1=2)

Well I found out where it converges too by starting with a1=2 that gave me a2 = 7/4, a3 = 97/56 and that is very close too sqrt:3 so that is where it goes. (Thinking).
I am however not sure how to "show" that it converges...?
A general hint on how to show anything here is fine I really wan´t too solve these by myself...

Do you mean

, given that ?

You have found as a possible limit. Now you need to use induction to show that for all n greater than 1.